4/182 added to 76/2 in Fraction Form

The result of 4/182 added to 76/2 is: 38 2/91

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4182 and 762.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 182 and 2 is 182.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4182 to 4182
Convert 762 to 6916182

Step 4: Add the Numerators

Add the numerators: 4 + 6916 = 6920

Step 5: Simplify the Fraction

We can simplify 6920182 to its lowest form.
The greatest common divisor (GCD) of 6920 and 182 is 2.
Dividing both numerator and denominator by the GCD, we get 346091.

Step 6: Convert to Mixed Number

The fraction 346091 can be written as the mixed number 38291.

Final Answer

The result of 4/182 added to 76/2 is:

4182+762=38291

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (when denominators are the same)

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

Fraction Calculator

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